It is given that Total Calories in the meal = 333
Calories per Grilled Chicken Strip = 110
# of Grilled Chicken Strips = x
Calories per Carrot = 29
# of Carrots = y
So the above information can be represented as:
Total Calories = (Calories per Grilled Chicken Strip × Number of Chicken Strips) + (Calories per Carrot × Number of Carrots)
Substituting the values in the above equation.
⇒ 333 = 110 × x + 29 × y
⇒ 110 × x + 29 × y = 333. This equation is in standard form, as an equation in standard form has the format Ax + By = C.
Out of the below options
(A) 110y = –29x + 333
(B) 29x + 110y = 333
(C) 29y = –110x + 333
(D) 110x + 29y = 333
So the standard form of equation matches with option (D), and hence the correct answer is 110x + 29y = 333
Answer:
Brock completed approximately 38 pull ups in the initial stage of training.
Step-by-step explanation:
We are given the following information in the question:
Ration of pull ups and box jumps initially =
Ration of pull ups and box jumps later =
Number of box jumps completed in the end of training = 53
Total number of exercises done in the end = 2x + 7x = 9x
We use the concept of ratio.
![7x = 53\\\\=x = \displaystyle\frac{53}{7}\\\\\Rightarrow 2x = \frac{106}{7}\\\\\Rightarrow \text{Total number of excercise} = \frac{477}{7}](https://tex.z-dn.net/?f=7x%20%3D%2053%5C%5C%5C%5C%3Dx%20%3D%20%5Cdisplaystyle%5Cfrac%7B53%7D%7B7%7D%5C%5C%5C%5C%5CRightarrow%202x%20%3D%20%5Cfrac%7B106%7D%7B7%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctext%7BTotal%20number%20of%20excercise%7D%20%3D%20%5Cfrac%7B477%7D%7B7%7D)
Initially,
Total number of exercise = 5y + 4y
![9y = \displaystyle\frac{477}{7}\\\\\Rightarrow y = \frac{477}{63}\\\\\Rightarrow \text{Pull ups done initially} = 5y = 5\times \frac{477}{63} = 37.85 \approx 38](https://tex.z-dn.net/?f=9y%20%3D%20%5Cdisplaystyle%5Cfrac%7B477%7D%7B7%7D%5C%5C%5C%5C%5CRightarrow%20y%20%3D%20%5Cfrac%7B477%7D%7B63%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctext%7BPull%20ups%20done%20initially%7D%20%3D%205y%20%3D%205%5Ctimes%20%5Cfrac%7B477%7D%7B63%7D%20%3D%2037.85%20%5Capprox%2038)
Thus, he completed approximately 38 pull ups in the initial stage of training.
(-1,-5) is the answer top left.
The interest is compounded quarterly because the formula is
A=p (1+r/k)^kt
A it's 18810.67 but I will assume it's unknown ?
P present value 7350
R interest rate 0.045
K compounded quarterly 4
Now solve the formula as the interest is compoundedquarterly
A=7,350×(1+0.045÷4)^(4×21)
A=18,810.67
So the answer is quarterly
It’s a fraction i’m pretty sure, i haven’t learned about that stuff in a while